利用抛物型偏微分方程进行图像去噪与增强是图像处理领域的热门研究课题之一,既有的扩散方程通常会带来边缘平滑,以致图像变得模糊。在各向异性扩散的基础上,采用均衡化网状扩散模型,外加调整项与约束项,对图像进行降噪处理,且同时增强对象边缘、强化图像结构。利用该模型,设计了显式的离散计算方案,并进行了实验。实验结果表明,该网状扩散模型的处理效果比既有的方法更好。

The image denoising and edge enhancement based on parabolic PDEs are the hot topics, but the existing diffusion equations have always made the edge smooth and hence the images become blurred. Based on the anisotropy diffusion, an equalized net diffusion model, with a modulator and a constraint term, is presented in order to not only denoise the image but also enhance the object edge and the image structure. An explicit calculation scheme is desired and the model is tested subsequently. The experimental results show that our present method is superior to the existing methods in the processing effect above.